Real hypersurfaces in a complex space form was studied by Cho and Kimura[1]} and have expanded the notion of Ricci solitons to \(\mathcal {B}\) -Ricci solitons. The \(\mathcal {B}\) -Ricci soliton on \((\mathcal {M},g)\)  satisfies
\(£_{X_1} g + 2\beta _2 g + 2\beta _1 \mathcal {B}\otimes \mathcal {B} + 2\mathcal {S} = 0,\) 
